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11052846038070 = 23251092113533219
BaseRepresentation
bin1010000011010111000011…
…1101100011110000110110
31110010122022211210120012200
42200311300331203300312
52422042212041204240
635301335105325330
72220353554121214
oct240656075436066
943118284716180
1011052846038070
113581538494541
1212a6147936846
136223819bcc75
142a2d63c71cb4
1514279ad2e930
hexa0d70f63c36

11052846038070 has 96 divisors (see below), whose sum is σ = 29014825039200. Its totient is φ = 2918997430272.

The previous prime is 11052846038063. The next prime is 11052846038123. The reversal of 11052846038070 is 7083064825011.

11052846038070 is a `hidden beast` number, since 1 + 1 + 0 + 528 + 46 + 0 + 3 + 80 + 7 + 0 = 666.

11052846038070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20461921 + ... + 20995139.

It is an arithmetic number, because the mean of its divisors is an integer number (302237760825).

Almost surely, 211052846038070 is an apocalyptic number.

11052846038070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11052846038070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507412519600).

11052846038070 is an abundant number, since it is smaller than the sum of its proper divisors (17961979001130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11052846038070 is a wasteful number, since it uses less digits than its factorization.

11052846038070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535454 (or 535451 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11052846038070 in words is "eleven trillion, fifty-two billion, eight hundred forty-six million, thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 2113 3270 4226 4905 6339 9810 10565 12678 19017 21130 31695 38034 63390 95085 190170 230317 460634 533219 690951 1066438 1151585 1381902 1599657 2072853 2303170 2666095 3199314 3454755 4145706 4798971 5332190 6909510 7998285 9597942 10364265 15996570 20728530 23994855 47989710 58120871 116241742 174362613 290604355 348725226 523087839 581208710 871813065 1046175678 1126691747 1743626130 2253383494 2615439195 3380075241 5230878390 5633458735 6760150482 10140225723 11266917470 16900376205 20280451446 33800752410 50701128615 101402257230 122809400423 245618800846 368428201269 614047002115 736856402538 1105284603807 1228094004230 1842141006345 2210569207614 3684282012690 5526423019035 11052846038070